Write an algebraic expression for each verbal expression: the difference of 10 and u 10-u 10+u 10u 10/u
1 answer:
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Answer/Step-by-step explanation:
2. Using two pairs of values, (0, 59) and (2,000, 51),
3. The y-intercept is the value of y when x = 0. Thus, x = 0, when y = 59. Therefore,
y-intercept (b) = 59
4. To write an equation in slope-intercept form, simply substitute m = -¹/250, and b = 59, in
✅
5. Substitute x = 5,000 in .
At an altitude of 5,000 ft, temperature would be 39°F
9514 1404 393
Answer:
A. no
B. no
C. obtuse
Step-by-step explanation:
For side lengths to form a triangle, the sum of the shorter two must exceed the longest.
A. 5 + 8 = 13 . . . . a line segment, not a triangle
B. 7 + 12 < 26 . . . . no closure, not a triangle
C. 11 + 15 > 20 . . . . a triangle. A picture shows it to be obtuse
You can also compare 11² +15² vs 20² ⇒ 346 vs 400. The long side is too long for a right triangle, so the triangle must be obtuse. (The Pythagorean theorem tells you a right triangle with those legs would have a long side of √346 = 18.6.)
Answer:
a) , b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.
b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:
The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:
According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:
The exact solution is , indicating that graphic solution leads to a good approximation.
